102052101006 has 48 divisors (see below), whose sum is σ = 226530368064. Its totient is φ = 33188478912.

The previous prime is 102052101001. The next prime is 102052101017. The reversal of 102052101006 is 600101250201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102052101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102052101001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77916 + ... + 458448.

It is an arithmetic number, because the mean of its divisors is an integer number (4719382668).

Almost surely, 2^102052101006 is an apocalyptic number.

102052101006 is an abundant number, since it is smaller than the sum of its proper divisors (124478267058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102052101006 is a wasteful number, since it uses less digits than its factorization.

102052101006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380905 (or 380902 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 102052101006 its reverse (600101250201), we get a palindrome (702153351207).

The spelling of 102052101006 in words is "one hundred two billion, fifty-two million, one hundred one thousand, six".